Consider the problem of establishing regulations concerning the maximum number of people who can occupy a lift. In particular, we would like to assess the probability of exceeding maximal weight when 8 people are allowed to use the lift simultaneously and compare that to the probability of allowing 9 people into the lift.
Assume that the total weight of 8 people chosen at random follows a normal distribution with a mean of 560kg and a standard deviation of 57kg. Assume that the total weight of 9 people chosen at random follows a normal distribution with a mean of 630kg and a standard deviation of 61kg.
